Finite Group Databasebeta

← #17241406

Subgroups — #17241406

Order 4352.

2644 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763394C211yesmaximal, characteristic, complemented
2C2×#11763319C211yesmaximal, characteristic, complemented
3#14537075C211yesmaximal, characteristic, complemented
4#14537063C211yesmaximal, characteristic, complemented
5#14535463C211yesmaximal, characteristic, complemented
6#14535416C211yesmaximal, characteristic, complemented
7#14535377C211yesmaximal, characteristic, complemented
8#14535374C211yesmaximal, characteristic, complemented
9#14535203C211yesmaximal, characteristic, complemented
10#14535151C211yesmaximal, characteristic, complemented
11#14535135C211yesmaximal, characteristic, complemented
12#14535130C211yesmaximal, characteristic, complemented
13#14535118C211yesmaximal, characteristic, complemented
14#14535111C211yesmaximal, characteristic, complemented
15#14535105C211yesmaximal, characteristic, complemented
16#14535105C211yesmaximal, characteristic, complemented
17#14535029C211yesmaximal, characteristic, complemented
18#14535009C211yesmaximal, characteristic, complemented
19#14534997C211yesmaximal, characteristic, complemented
20#14534673C211yesmaximal, characteristic, complemented
21#14534628C211yesmaximal, characteristic, complemented
22#14534474C211yesmaximal, characteristic, complemented
23#14534404C211yesmaximal, characteristic, complemented
24#14534388C211yesmaximal, characteristic, complemented
25#14534365C211yesmaximal, characteristic, complemented
26#14533752C211yesmaximal, characteristic, complemented
27#14533671C211yesmaximal, characteristic, complemented
28#14532122C211yesmaximal, characteristic, complemented
29#14532100C211yesmaximal, characteristic, complemented
30#14531425C211yesmaximal, characteristic, complemented
31C17×#2669C211yesmaximal, characteristic, complemented
32C22×#63254C2211yescharacteristic
33C23×C4×D17C2211yescharacteristic, complemented
34#11763394—28no—
35C2×#10587565C2211yescharacteristic, complemented
36C2×#10587565C2211yescharacteristic, complemented
37C2×#10587622C2211yescharacteristic, complemented
38C2×#10587622C2211yescharacteristic, complemented
39C2×#10587571C2211yescharacteristic
40#11763319—28no—
41C2×#10587569C2211yescharacteristic
42C2×#10587569C2211yescharacteristic
43C2×#10587569C2211yescharacteristic
44C2×#10587569C2211yescharacteristic, complemented
45C2×#10587621C2211yescharacteristic
46C2×#10587621C2211yescharacteristic, complemented
47C2×#10587583C2211yescharacteristic, complemented
48C2×#10587610C2211yescharacteristic, complemented
49C2×#10587564C2211yescharacteristic, complemented
50C2×#10587564C2211yescharacteristic, complemented
51C2×#10587625C2211yescharacteristic
52C2×#10587625C2211yescharacteristic
53C2×#10587625C2211yescharacteristic, complemented
54C2×#10587624C2211yescharacteristic
55C2×#10587624C2211yescharacteristic
56C2×#10587624C2211yescharacteristic
57C2×#10587639C2211yescharacteristic
58C2×#10587639C2211yescharacteristic
59C2×#10587623C2211yescharacteristic
60C2×#10587623C2211yescharacteristic
61C2×#10587623C2211yescharacteristic
62C2×#10587623C2211yescharacteristic, complemented
63C2×#10587623C2211yescharacteristic, complemented
64C2×D4×Dic17C2211yescharacteristic
65C2×D4×Dic17C2211yescharacteristic, complemented
66C2×D4×Dic17C2211yescharacteristic, complemented
67C2×#10587567C2211yescharacteristic
68C2×#10587567C2211yescharacteristic, complemented
69C2×#10587578C2211yescharacteristic, complemented
70C22×C22⋊Dic17C2211yescharacteristic, complemented
71#11762749C2211yescharacteristic, complemented
72#11762745C2211yescharacteristic, complemented
73#11762743C2211yescharacteristic, complemented
74#11762741C2211yescharacteristic, complemented
75#11762739C2211yescharacteristic, complemented
76#11762738C2211yescharacteristic, complemented
77#11762734C2211yescharacteristic, complemented
78#11762734C2211yescharacteristic, complemented
79#11762733C2211yescharacteristic, complemented
80#11762732C2211yescharacteristic, complemented
81#11762732C2211yescharacteristic, complemented
82#11762732C2211yescharacteristic, complemented
83#11762732C2211yescharacteristic, complemented
84#11762732C2211yescharacteristic, complemented
85#11762729C2211yescharacteristic, complemented
86#11762725C2211yescharacteristic
87#11762725C2211yescharacteristic
88#11762724C2211yescharacteristic
89#11762724C2211yescharacteristic
90#11762724C2211yescharacteristic, complemented
91#11762724C2211yescharacteristic, complemented
92#11762723C2211yescharacteristic
93#11762723C2211yescharacteristic
94#11762723C2211yescharacteristic
95#11762723C2211yescharacteristic
96#11762723C2211yescharacteristic, complemented
97#11762723C2211yescharacteristic, complemented
98#11762723C2211yescharacteristic, complemented
99#11762723C2211yescharacteristic, complemented
100#11762723C2211yescharacteristic, complemented
101#11762723C2211yescharacteristic, complemented
102#11762723C2211yescharacteristic, complemented
103#11762722C2211yescharacteristic, complemented
104#11762721C2211yescharacteristic, complemented
105#11762721C2211yescharacteristic, complemented
106#11762717C2211yescharacteristic
107#11762717C2211yescharacteristic
108#11762717C2211yescharacteristic
109#11762717C2211yescharacteristic
110#11762717C2211yescharacteristic
111#11762717C2211yescharacteristic
112#11762717C2211yescharacteristic, complemented
113#11762715C2211yescharacteristic, complemented
114#11762713C2211yescharacteristic, complemented
115#11762712C2211yescharacteristic
116#11762712C2211yescharacteristic, complemented
117#11762712C2211yescharacteristic, complemented
118#11762709C2211yescharacteristic
119#11762709C2211yescharacteristic
120#11762709C2211yescharacteristic
121#11762709C2211yescharacteristic
122#11762709C2211yescharacteristic, complemented
123#11762709C2211yescharacteristic, complemented
124#11762706C2211yescharacteristic, complemented
125#11762704C2211yescharacteristic, complemented
126#11762704C2211yescharacteristic, complemented
127#11762703C2211yescharacteristic, complemented
128#11762703C2211yescharacteristic, complemented
129#11762703C2211yescharacteristic, complemented
130#11762703C2211yescharacteristic, complemented
131#11762702C2211yescharacteristic, complemented
132#11762702C2211yescharacteristic, complemented
133#11762702C2211yescharacteristic, complemented
134#11762700C2211yescharacteristic, complemented
135#11762700C2211yescharacteristic, complemented
136#11762698C2211yescharacteristic, complemented
137#11762697C2211yescharacteristic, complemented
138#11762697C2211yescharacteristic, complemented
139#11762696C2211yescharacteristic, complemented
140#11762696C2211yescharacteristic, complemented
141#11762689C2211yescharacteristic
142#11762689C2211yescharacteristic
143#11762689C2211yescharacteristic, complemented
144#11762689C2211yescharacteristic, complemented
145#11762689C2211yescharacteristic, complemented
146#11762689C2211yescharacteristic, complemented
147#11762689C2211yescharacteristic, complemented
148#11762689C2211yescharacteristic, complemented
149#11762686C2211yescharacteristic
150#11762685C2211yescharacteristic
151#11762685C2211yescharacteristic
152#11762685C2211yescharacteristic
153#11762685C2211yescharacteristic
154#11762685C2211yescharacteristic, complemented
155#11762685C2211yescharacteristic, complemented
156#11762684C2211yescharacteristic, complemented
157#11762684C2211yescharacteristic, complemented
158#11762684C2211yescharacteristic, complemented
159#11762683C2211yescharacteristic, complemented
160#11762683C2211yescharacteristic, complemented
161#11762682C2211yescharacteristic, complemented
162#11762671C2211yescharacteristic, complemented
163#11762671C2211yescharacteristic, complemented
164#11762670C2211yescharacteristic, complemented
165#11762670C2211yescharacteristic, complemented
166#11762669C2211yescharacteristic, complemented
167#11762667C2211yescharacteristic, complemented
168#11762666C2211yescharacteristic, complemented
169#11762666C2211yescharacteristic, complemented
170#11762665C2211yescharacteristic, complemented
171#11762664C2211yescharacteristic, complemented
172C4×#63225C2211yescharacteristic, complemented
173#11762654C2211yescharacteristic, complemented
174C2×C17×#127C2211yescharacteristic
175C2×C17×#121C2211yescharacteristic
176C2×C17×#121C2211yescharacteristic
177C2×C17×#120C2211yescharacteristic
178C2×C17×#120C2211yescharacteristic, complemented
179C2×C17×#120C2211yescharacteristic, complemented
180C17×#394C2211yescharacteristic, complemented
181C17×#394C2211yescharacteristic, complemented
182C17×#392C2211yescharacteristic
183C17×#392C2211yescharacteristic
184C17×#392C2211yescharacteristic, complemented
185C17×#392C2211yescharacteristic, complemented
186C17×#388C2211yescharacteristic, complemented
187C17×#388C2211yescharacteristic, complemented
188C17×#386C2211yescharacteristic
189C25×C17C2311yescharacteristic
190C24×D17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C22×D4×C17C2311yescharacteristic
194C22×D4×C17C2311yescharacteristic
195C22×D4×C17C2311yescharacteristic
196C22×D4×C17C2311yescharacteristic
197C22×D4×C17C2311yescharacteristic
198C22×D4×C17C2311yescharacteristic
199C22×D4×C17C2311yescharacteristic
200C22×D4×C17C2311yescharacteristic
201C22×D4×C17C2311yescharacteristic
202C22×D4×C17C2311yescharacteristic
203C23×C4×C17C2311yescharacteristic
204C22×C22⋊D17C2311yescharacteristic
205C22×C22⋊D17C2311yescharacteristic
206C22×C22⋊D17C2311yescharacteristic
207C22×C22⋊D17C2311yescharacteristic
208C22×C22⋊D17C2311yescharacteristic
209C22×C22⋊D17C2311yescharacteristic
210C22×C22⋊D17C2311yescharacteristic
211C22×C22⋊D17C2311yescharacteristic
212C22×C22⋊D17C2311yescharacteristic
213C22×C22⋊D17C2311yescharacteristic
214C23×Dic17C2311yescharacteristic
215C23×Dic17C2311yescharacteristic
216C23×Dic17C2311yescharacteristic
217C23×Dic17C2311yescharacteristic
218C23×Dic17C2311yescharacteristic
219C2×#63254—24no—
220C2×#63254—42no—
221C2×#63254—42no—
222C22×C4×D17—24no—
223C22×C4×D17—42no—
224C22×C4×D17—42no—
225C22×C4×D17C2311yescharacteristic
226C22×C4×D17C2311yescharacteristic
227C22×C4×D17C2311yescharacteristic
228C22×C4×D17C2311yescharacteristic
229C22×Dic34C2311yescharacteristic
230C22×Dic34C2311yescharacteristic
231C17×#127—42no—
232C17×#121—24no—
233C17×#121—42no—
234C17×#120—24no—
235C17×#120—42no—
236C17×#120—42no—
237C2×C4⋊C4×C17C2311yescharacteristic
238C2×C4⋊C4×C17C2311yescharacteristic
239C2×C22⋊C4×C17C2311yescharacteristic
240C2×C22⋊C4×C17C2311yescharacteristic
241C2×C22⋊C4×C17C2311yescharacteristic
242C2×C22⋊C4×C17C2311yescharacteristic
243C2×C22⋊C4×C17C2311yescharacteristic
244C2×C22⋊C4×C17C2311yescharacteristic
245C2×C22⋊C4×C17C2311yescharacteristic
246C2×C22⋊C4×C17C2311yescharacteristic
247C2×C22⋊C4×C17C2311yescharacteristic
248C2×C22⋊C4×C17C2311yescharacteristic
249C2×C22⋊C4×C17C2311yescharacteristic
250C2×C22⋊C4×C17C2311yescharacteristic
251C2×C22⋊C4×C17C2311yescharacteristic
252C2×C22⋊C4×C17C2311yescharacteristic
253C2×C42×C17C2311yescharacteristic
254#10587639—24no—
255#10587639—42no—
256C2×C22⋊Dic17—24no—
257C2×C22⋊Dic17C2311yescharacteristic
258C2×C22⋊Dic17C2311yescharacteristic
259C2×C22⋊Dic17C2311yescharacteristic
260C2×C22⋊Dic17C2311yescharacteristic
261C2×C22⋊Dic17C2311yescharacteristic
262C2×C22⋊Dic17C2311yescharacteristic
263C2×C22⋊Dic17C2311yescharacteristic
264C2×C22⋊Dic17C2311yescharacteristic
265C2×C22⋊Dic17C2311yescharacteristic
266C2×C22⋊Dic17C2311yescharacteristic
267C2×C22⋊Dic17C2311yescharacteristic
268C2×C22⋊Dic17C2311yescharacteristic
269C2×C22⋊Dic17C2311yescharacteristic
270C2×C22⋊Dic17C2311yescharacteristic
271C2×C22⋊Dic17C2311yescharacteristic
272C2×C22⋊Dic17C2311yescharacteristic
273C2×C22⋊Dic17C2311yescharacteristic
274C2×C22⋊Dic17C2311yescharacteristic
275C2×C22⋊Dic17C2311yescharacteristic
276C2×C22⋊Dic17C2311yescharacteristic
277C2×C22⋊Dic17C2311yescharacteristic
278C2×C22⋊Dic17C2311yescharacteristic
279C2×C22⋊Dic17C2311yescharacteristic
280C2×C22⋊Dic17C2311yescharacteristic
281C2×C22⋊Dic17C2311yescharacteristic
282C2×C22⋊Dic17C2311yescharacteristic
283C2×C22⋊Dic17C2311yescharacteristic
284C2×C22⋊Dic17C2311yescharacteristic
285C2×C22⋊Dic17C2311yescharacteristic
286C2×C22⋊Dic17C2311yescharacteristic
287C2×C22⋊Dic17C2311yescharacteristic
288C2×C22⋊Dic17C2311yescharacteristic
289#10587625—24no—
290#10587625—24no—
291#10587625—42no—
292#10587624—24no—
293#10587624—24no—
294#10587624—42no—
295#10587623—24no—
296#10587623—24no—
297#10587623—42no—
298#10587623—42no—
299#10587623—42no—
300#10587622—24no—
301#10587622—42no—
302#10587621—24no—
303#10587621—42no—
304D4×Dic17—24no—
305D4×Dic17—24no—
306D4×Dic17—24no—
307C2×#63227C2311yescharacteristic
308C2×#63227C2311yescharacteristic
309C2×#63227C2311yescharacteristic
310C2×#63227C2311yescharacteristic
311C2×#63227C2311yescharacteristic
312C2×#63227C2311yescharacteristic
313C2×#63227C2311yescharacteristic
314C2×#63227C2311yescharacteristic
315C2×#63227C2311yescharacteristic
316C2×#63227C2311yescharacteristic
317C2×#63227C2311yescharacteristic
318C2×#63227C2311yescharacteristic
319C2×#63227C2311yescharacteristic
320C2×#63227C2311yescharacteristic
321C2×C4⋊Dic17C2311yescharacteristic
322C2×C4⋊Dic17C2311yescharacteristic
323C2×C4⋊Dic17C2311yescharacteristic
324C2×C4⋊Dic17C2311yescharacteristic
325C2×C4⋊Dic17C2311yescharacteristic
326C2×C4⋊Dic17C2311yescharacteristic
327C2×C4⋊Dic17C2311yescharacteristic
328C2×C4⋊Dic17C2311yescharacteristic
329#10587610—24no—
330C2×#63225C2311yescharacteristic
331C2×#63225C2311yescharacteristic
332C2×#63225C2311yescharacteristic
333C2×#63225C2311yescharacteristic
334C2×#63225C2311yescharacteristic
335C2×#63225C2311yescharacteristic
336C2×#63225C2311yescharacteristic
337C2×#63225C2311yescharacteristic
338C2×#63225C2311yescharacteristic
339C2×#63225C2311yescharacteristic
340C2×#63225C2311yescharacteristic
341C2×#63225C2311yescharacteristic
342C2×#63225C2311yescharacteristic
343C2×#63225C2311yescharacteristic
344C2×C4×Dic17C2311yescharacteristic
345C2×C4×Dic17C2311yescharacteristic
346C2×C4×Dic17C2311yescharacteristic
347C2×C4×Dic17C2311yescharacteristic
348C2×C4×Dic17C2311yescharacteristic
349C2×C4×Dic17C2311yescharacteristic
350#10587583—24no—
351#10587578—24no—
352#10587571—24no—
353#10587569—24no—
354#10587569—24no—
355#10587569—24no—
356#10587569—42no—
357#10587567—24no—
358#10587567D418yescomplemented
359#10587565—24no—
360#10587565—24no—
361#10587564—24no—
362#10587564—42no—
363C17×#95C2311yescharacteristic
364C17×#95C2311yescharacteristic
365C17×#95C2311yescharacteristic
366C17×#95C2311yescharacteristic
367#10587502C2311yescharacteristic
368#10587502C2311yescharacteristic
369#10587502C2311yescharacteristic
370#10587502C2311yescharacteristic
371#10587502C2311yescharacteristic
372#10587502C2311yescharacteristic
373#10587502C2311yescharacteristic
374#10587502C2311yescharacteristic
375#10587502C2311yescharacteristic
376#10587502C2311yescharacteristic
377#10587502C2311yescharacteristic
378#10587502C2311yescharacteristic
379#10587502C2311yescharacteristic
380#10587502C2311yescharacteristic
381#10587502C2311yescharacteristic
382#10587502C2311yescharacteristic
383#10587502C2311yescharacteristic
384#10587502C2311yescharacteristic
385#10587502C2311yescharacteristic
386#10587502C2311yescharacteristic
387#10587502C2311yescharacteristic
388#10587502C2311yescharacteristic
389#10587502C2311yescharacteristic
390#10587502C2311yescharacteristic
391C24×C17—22no—
392C24×C17—41no—
393C24×C17—41no—
394C24×C17—41no—
395C24×C17—41no—
396C24×C17—41no—
397C24×C17—41no—
398C24×C17C2411yescharacteristic
399C24×C17C2411yescharacteristic
400C24×C17C2411yescharacteristic
401C24×C17C2411yescharacteristic
402C24×C17C2411yescharacteristic
403C24×C17C2411yescharacteristic
404C23×D17—22no—
405C23×D17—22no—
406C23×D17—22no—
407C23×D17—41no—
408C23×D17—41no—
409C23×D17—41no—
410C23×D17—41no—
411C23×D17C2411yescharacteristic
412C23×D17C2411yescharacteristic
413C2×D4×C17—22no—
414C2×D4×C17—22no—
415C2×D4×C17—22no—
416C2×D4×C17—22no—
417C2×D4×C17—22no—
418C2×D4×C17—22no—
419C2×D4×C17—22no—
420C2×D4×C17—22no—
421C2×D4×C17—22no—
422C2×D4×C17—22no—
423C2×D4×C17—22no—
424C2×D4×C17—22no—
425C2×D4×C17—41no—
426C2×D4×C17—41no—
427C2×D4×C17—41no—
428C2×D4×C17—41no—
429C2×D4×C17—41no—
430C2×D4×C17—41no—
431C2×D4×C17—41no—
432C2×D4×C17—41no—
433C2×D4×C17—41no—
434C2×D4×C17—41no—
435C2×D4×C17—41no—
436C2×D4×C17—41no—
437C2×D4×C17—41no—
438C2×D4×C17—41no—
439C2×D4×C17—41no—
440C2×D4×C17—41no—
441C2×D4×C17—41no—
442C2×D4×C17—41no—
443C2×D4×C17—41no—
444C2×D4×C17—41no—
445C2×D4×C17—41no—
446C2×D4×C17—41no—
447C2×D4×C17—41no—
448C2×D4×C17—41no—
449C22×C4×C17—22no—
450C22×C4×C17—22no—
451C22×C4×C17—41no—
452C22×C4×C17C2411yescharacteristic
453C22×C4×C17C2411yescharacteristic
454C22×C4×C17C2411yescharacteristic
455C22×C4×C17C2411yescharacteristic
456C22×C4×C17C2411yescharacteristic
457C22×C4×C17C2411yescharacteristic
458C22×C4×C17C2411yescharacteristic
459C22×C4×C17C2411yescharacteristic
460C22×C4×C17C2411yescharacteristic
461C2×C22⋊D17—22no—
462C2×C22⋊D17—22no—
463C2×C22⋊D17—22no—
464C2×C22⋊D17—22no—
465C2×C22⋊D17—22no—
466C2×C22⋊D17—22no—
467C2×C22⋊D17—22no—
468C2×C22⋊D17—22no—
469C2×C22⋊D17—22no—
470C2×C22⋊D17—22no—
471C2×C22⋊D17—22no—
472C2×C22⋊D17—41no—
473C2×C22⋊D17—41no—
474C2×C22⋊D17—41no—
475C2×C22⋊D17—41no—
476C2×C22⋊D17—41no—
477C2×C22⋊D17—41no—
478C2×C22⋊D17—41no—
479C2×C22⋊D17—41no—
480C2×C22⋊D17—41no—
481C2×C22⋊D17—41no—
482C2×C22⋊D17—41no—
483C2×C22⋊D17—41no—
484C2×C22⋊D17—41no—
485C2×C22⋊D17—41no—
486C2×C22⋊D17—41no—
487C2×C22⋊D17—41no—
488C2×C22⋊D17—41no—
489C2×C22⋊D17—41no—
490C2×C22⋊D17C2×D414yes—
491C22×Dic17—22no—
492C22×Dic17—22no—
493C22×Dic17—22no—
494C22×Dic17—22no—
495C22×Dic17—41no—
496C22×Dic17—41no—
497C22×Dic17—41no—
498C22×Dic17—41no—
499C22×Dic17—41no—
500C22×Dic17—41no—
501C22×Dic17—41no—
502C22×Dic17—41no—
503C22×Dic17—41no—
504C22×Dic17—41no—
505C22×Dic17C2×D414yes—
506C22×Dic17C2411yescharacteristic
507C22×Dic17C2411yescharacteristic
508C22×Dic17C2411yescharacteristic
509C22×Dic17C2411yescharacteristic
510C22×Dic17C2411yescharacteristic
511C22×Dic17C2411yescharacteristic
512C22×Dic17C2411yescharacteristic
513C22×Dic17C2411yescharacteristic
514C22×Dic17C2411yescharacteristic
515C22×Dic17C2411yescharacteristic
516C22×Dic17C2411yescharacteristic
517C22×Dic17C2411yescharacteristic
518C22×Dic17C2411yescharacteristic
519C22×Dic17C2411yescharacteristic
520#63254—416no—
521C2×C4×D17—22no—
522C2×C4×D17—22no—
523C2×C4×D17—22no—
524C2×C4×D17—22no—
525C2×C4×D17—22no—
526C2×C4×D17—22no—
527C2×C4×D17—22no—
528C2×C4×D17—416no—
529C2×C4×D17—41no—
530C2×C4×D17—41no—
531C2×C4×D17—41no—
532C2×C4×D17—41no—
533C2×C4×D17C2×D414yes—
534C2×Dic34—22no—
535C2×Dic34—22no—
536C2×Dic34—22no—
537C2×Dic34—41no—
538C2×Dic34—41no—
539C2×Dic34—41no—
540C4⋊C4×C17—22no—
541C4⋊C4×C17—41no—
542C22⋊C4×C17—22no—
543C22⋊C4×C17—22no—
544C22⋊C4×C17—22no—
545C22⋊C4×C17—22no—
546C22⋊C4×C17—22no—
547C22⋊C4×C17—22no—
548C22⋊C4×C17—41no—
549C22⋊C4×C17—41no—
550C22⋊C4×C17—41no—
551C22⋊C4×C17—41no—
552C22⋊C4×C17—41no—
553C22⋊C4×C17—41no—
554C22⋊C4×C17—41no—
555C22⋊C4×C17C2×D414yes—
556C42×C17—41no—
557C22⋊Dic17—22no—
558C22⋊Dic17—22no—
559C22⋊Dic17—22no—
560C22⋊Dic17—22no—
561C22⋊Dic17—22no—
562C22⋊Dic17—22no—
563C22⋊Dic17—22no—
564C22⋊Dic17—22no—
565C22⋊Dic17—22no—
566C22⋊Dic17—22no—
567C22⋊Dic17—22no—
568C22⋊Dic17—22no—
569C22⋊Dic17—22no—
570C22⋊Dic17—22no—
571C22⋊Dic17—22no—
572C22⋊Dic17—22no—
573C22⋊Dic17—41no—
574C22⋊Dic17—41no—
575C22⋊Dic17—41no—
576C22⋊Dic17—41no—
577C22⋊Dic17—41no—
578C22⋊Dic17—41no—
579C22⋊Dic17—41no—
580C22⋊Dic17—41no—
581C22⋊Dic17—41no—
582C22⋊Dic17—41no—
583C22⋊Dic17—41no—
584C22⋊Dic17—41no—
585C22⋊Dic17—41no—
586C22⋊Dic17—41no—
587C22⋊Dic17—41no—
588C22⋊Dic17—41no—
589#63227—22no—
590#63227—22no—
591#63227—22no—
592#63227—22no—
593#63227—22no—
594#63227—41no—
595#63227—41no—
596#63227—41no—
597#63227—41no—
598#63227—41no—
599#63227—41no—
600#63227—41no—
601#63227—41no—
602#63227C2×D414yes—
603C4⋊Dic17—22no—
604C4⋊Dic17—22no—
605C4⋊Dic17—22no—
606C4⋊Dic17—22no—
607C4⋊Dic17—22no—
608C4⋊Dic17—41no—
609C4⋊Dic17—41no—
610C4⋊Dic17—41no—
611#63225—22no—
612#63225—22no—
613#63225—22no—
614#63225—22no—
615#63225—22no—
616#63225—41no—
617#63225—41no—
618#63225—41no—
619#63225—41no—
620#63225—41no—
621#63225—41no—
622#63225—41no—
623#63225—41no—
624#63225C2×D414yes—
625C4×Dic17—22no—
626C4×Dic17—22no—
627C4×Dic17—41no—
628C4×Dic17—41no—
629C4×Dic17—41no—
630C4×Dic17C2×D414yes—
631#36724—171nomaximal, Sylow
632C23×C17—21no—
633C23×C17—21no—
634C23×C17—21no—
635C23×C17—21no—
636C23×C17—21no—
637C23×C17—21no—
638C23×C17—21no—
639C23×C17—21no—
640C23×C17—21no—
641C23×C17—21no—
642C23×C17—21no—
643C23×C17—21no—
644C23×C17—21no—
645C23×C17—21no—
646C23×C17—21no—
647C23×C17—21no—
648C23×C17—21no—
649C23×C17—21no—
650C23×C17—21no—
651C23×C17—21no—
652C23×C17—21no—
653C23×C17—21no—
654C23×C17—21no—
655C23×C17—21no—
656C23×C17—21no—
657C23×C17—21no—
658C23×C17—21no—
659C23×C17—21no—
660C23×C17—21no—
661C23×C17—21no—
662C23×C17—21no—
663C23×C17—21no—
664C23×C17—21no—
665C23×C17—21no—
666C23×C17—21no—
667C23×C17—21no—
668C23×C17—21no—
669C23×C17—21no—
670C23×C17—21no—
671C23×C17—21no—
672C23×C17—44no—
673C23×C17—82no—
674C23×C17—82no—
675C23×C17—82no—
676C23×C17—82no—
677C23×C17—82no—
678C23×C17—82no—
679C23×C17C22×D412yes—
680C23×C17H(5,𝔽2)12yes—
681C23×C17C2511yescharacteristic
682C22×D17—21no—
683C22×D17—21no—
684C22×D17—21no—
685C22×D17—21no—
686C22×D17—21no—
687C22×D17—21no—
688C22×D17—21no—
689C22×D17—21no—
690C22×D17—21no—
691C22×D17—21no—
692C22×D17—21no—
693C22×D17—21no—
694C22×D17—44no—
695C22×D17—44no—
696C22×D17—44no—
697C22×D17—44no—
698C22×D17—44no—
699C22×D17—44no—
700C22×D17—44no—
701C22×D17C22×D412yes—
702C22×D17H(5,𝔽2)12yes—
703D4×C17—44no—
704D4×C17—44no—
705D4×C17—44no—
706D4×C17—44no—
707D4×C17—82no—
708D4×C17—82no—
709D4×C17—82no—
710D4×C17—82no—
711D4×C17—82no—
712D4×C17—82no—
713D4×C17—82no—
714D4×C17—82no—
715C2×C4×C17—21no—
716C2×C4×C17—21no—
717C2×C4×C17—21no—
718C2×C4×C17—21no—
719C2×C4×C17—21no—
720C2×C4×C17—21no—
721C2×C4×C17—21no—
722C2×C4×C17—21no—
723C2×C4×C17—21no—
724C2×C4×C17—21no—
725C2×C4×C17—21no—
726C2×C4×C17—21no—
727C2×C4×C17—21no—
728C2×C4×C17—21no—
729C2×C4×C17—21no—
730C2×C4×C17—21no—
731C2×C4×C17—21no—
732C2×C4×C17—21no—
733C2×C4×C17—21no—
734C2×C4×C17—21no—
735C2×C4×C17—21no—
736C2×C4×C17—21no—
737C2×C4×C17—21no—
738C2×C4×C17—21no—
739C2×C4×C17—44no—
740C2×C4×C17C22×D412yes—
741C2×C4×C17C22×D412yes—
742C2×C4×C17H(5,𝔽2)12yes—
743C22⋊D17—44no—
744C22⋊D17—44no—
745C22⋊D17—44no—
746C22⋊D17—44no—
747C22⋊D17—82no—
748C22⋊D17—82no—
749C22⋊D17—82no—
750C22⋊D17—82no—
751C22⋊D17—82no—
752C22⋊D17—82no—
753C2×Dic17—21no—
754C2×Dic17—21no—
755C2×Dic17—21no—
756C2×Dic17—21no—
757C2×Dic17—21no—
758C2×Dic17—21no—
759C2×Dic17—21no—
760C2×Dic17—21no—
761C2×Dic17—21no—
762C2×Dic17—21no—
763C2×Dic17—21no—
764C2×Dic17—21no—
765C2×Dic17—21no—
766C2×Dic17—21no—
767C2×Dic17—21no—
768C2×Dic17—21no—
769C2×Dic17—21no—
770C2×Dic17—21no—
771C2×Dic17—21no—
772C2×Dic17—21no—
773C2×Dic17—21no—
774C2×Dic17—21no—
775C2×Dic17—21no—
776C2×Dic17—21no—
777C2×Dic17—21no—
778C2×Dic17—21no—
779C2×Dic17—21no—
780C2×Dic17—21no—
781C2×Dic17—21no—
782C2×Dic17—21no—
783C2×Dic17—21no—
784C2×Dic17—21no—
785C2×Dic17—21no—
786C2×Dic17—21no—
787C2×Dic17—21no—
788C2×Dic17—21no—
789C2×Dic17—21no—
790C2×Dic17—21no—
791C2×Dic17—21no—
792C2×Dic17—44no—
793C2×Dic17—44no—
794C2×Dic17—44no—
795C2×Dic17—82no—
796C2×Dic17—82no—
797C2×Dic17C22×D412yes—
798C2×Dic17C22×D412yes—
799C2×Dic17C22×D412yes—
800C4×D17—28no—
801C4×D17—44no—
802C4×D17—44no—
803C4×D17—44no—
804Dic34—44no—
805Dic34—82no—
806C2×#538—171no—
807C2×#525—171no—
808#2849—171no—
809#2847—171no—
810#2705—171no—
811#2702—171no—
812#2700—171no—
813#2699—171no—
814#2687—171no—
815#2682—171no—
816#2681—171no—
817#2681—171no—
818#2679—171no—
819#2678—171no—
820#2678—171no—
821#2678—171no—
822#2672—171no—
823#2670—171no—
824#2669—171no—
825#2669D1711yescharacteristic, complemented
826#2635—171no—
827#2630—171no—
828#2610—171no—
829#2603—171no—
830#2601—171no—
831#2600—171no—
832#2544—171no—
833#2534—171no—
834#2407—171no—
835#2404—171no—
836#2319—171no—
837C22×C17—22no—
838C22×C17—22no—
839C22×C17—22no—
840C22×C17—22no—
841C22×C17—22no—
842C22×C17—22no—
843C22×C17—41no—
844C22×C17—41no—
845C22×C17—41no—
846C22×C17—41no—
847C22×C17—41no—
848C22×C17—41no—
849C22×C17—41no—
850C22×C17—41no—
851C22×C17—41no—
852C22×C17—41no—
853C22×C17—41no—
854C22×C17—41no—
855C22×C17—41no—
856C22×C17—41no—
857C22×C17—41no—
858C22×C17—41no—
859C22×C17—41no—
860C22×C17—41no—
861C22×C17—41no—
862C22×C17—41no—
863C22×C17—41no—
864C22×C17—41no—
865C22×C17—41no—
866C22×C17—41no—
867C22×C17—41no—
868C22×C17—41no—
869C22×C17—41no—
870C22×C17—41no—
871C22×C17—41no—
872C22×C17—41no—
873C22×C17—41no—
874C22×C17—41no—
875C22×C17—41no—
876C22×C17—41no—
877C22×C17—41no—
878C22×C17—41no—
879C22×C17—88no—
880C22×C17C23×D411yescharacteristic
881C22×C17C2×H(5,𝔽2)11yescharacteristic
882C22×C17C2×H(5,𝔽2)11yescharacteristic
883C22×C17C2×H(5,𝔽2)11yescharacteristic
884C22×C17#58511yescharacteristic
885C22×C17#58511yescharacteristic
886C22×C17#58511yescharacteristic
887C2×D17—22no—
888C2×D17—22no—
889C2×D17—22no—
890C2×D17—22no—
891C2×D17—22no—
892C2×D17—22no—
893C2×D17—416no—
894C2×D17—41no—
895C2×D17—41no—
896C2×D17—41no—
897C2×D17—41no—
898C2×D17—41no—
899C2×D17—41no—
900C2×D17—41no—
901C2×D17—41no—
902C4×C17—22no—
903C4×C17—22no—
904C4×C17—22no—
905C4×C17—41no—
906C4×C17—41no—
907C4×C17—41no—
908C4×C17—41no—
909C4×C17—41no—
910C4×C17—41no—
911Dic17—22no—
912Dic17—22no—
913Dic17—22no—
914Dic17—41no—
915Dic17—41no—
916Dic17—41no—
917Dic17—41no—
918Dic17—41no—
919Dic17—41no—
920Dic17—41no—
921Dic17—41no—
922Dic17—41no—
923Dic17—41no—
924Dic17—41no—
925C22×#41—171no—
926C24×C4—171no—
927#538—348no—
928C2×#127C2×D1711yescharacteristic
929C2×#126—171no—
930C2×#126—171no—
931C2×#124—171no—
932C2×#124—171no—
933C2×#124—171no—
934#525—348no—
935C2×#123—171no—
936C2×#123—171no—
937C2×#123—171no—
938C2×#123—171no—
939C2×#123—171no—
940C2×#123—171no—
941C2×C22⋊Q8—171no—
942C2×C22⋊Q8—171no—
943C2×C22⋊Q8—171no—
944C2×C22⋊Q8—171no—
945C2×#121—171no—
946C2×#121—171no—
947C2×#121—171no—
948C2×#121—171no—
949C2×#121—171no—
950C2×#121—171no—
951C2×#121C2×D1711yescharacteristic
952C2×#121C2×D1711yescharacteristic
953C2×#120—171no—
954C2×#120—171no—
955C2×#120—171no—
956C2×#120—171no—
957C2×#120—171no—
958C2×#120—171no—
959C2×#120—171no—
960C2×#120C2×D1711yescharacteristic
961C2×#120C2×D1711yescharacteristic, complemented
962C2×#120C2×D1711yescharacteristic, complemented
963C2×C4×D4—171no—
964C2×C4×D4—171no—
965C2×C4×D4—171no—
966C2×C4×D4—171no—
967C2×C4×D4—171no—
968C2×#117—171no—
969C22×C22⋊C4—171no—
970#400—171no—
971#399—171no—
972#398—171no—
973#398—171no—
974#398—171no—
975#397—171no—
976#397—171no—
977#397—171no—
978#396—171no—
979#396—171no—
980#396—171no—
981#396—171no—
982#396—171no—
983#396—171no—
984#395—171no—
985#394—171no—
986#394—171no—
987#394—171no—
988#394—171no—
989#394—171no—
990#394—171no—
991#394—171no—
992#394—171no—
993#394—171no—
994#394—171no—
995#394—171no—
996#394—171no—
997#394—171no—
998#394—171no—
999#394—171no—
1000#394—171no—
1001#394—171no—
1002#394C2×D1711yescharacteristic, complemented
1003#394C2×D1711yescharacteristic, complemented
1004#393—171no—
1005#393—171no—
1006#393—171no—
1007#392—171no—
1008#392—171no—
1009#392—171no—
1010#392—171no—
1011#392—171no—
1012#392—171no—
1013#392—171no—
1014#392C2×D1711yescharacteristic
1015#392C2×D1711yescharacteristic
1016#392C2×D1711yescharacteristic, complemented
1017#392C2×D1711yescharacteristic, complemented
1018#391—171no—
1019#391—171no—
1020#390—171no—
1021#390—171no—
1022#390—171no—
1023#390—171no—
1024#390—171no—
1025#390—171no—
1026#390—171no—
1027#390—171no—
1028#390—171no—
1029#389—171no—
1030#389—171no—
1031#389—171no—
1032#388—171no—
1033#388—171no—
1034#388—171no—
1035#388—171no—
1036#388—171no—
1037#388—171no—
1038#388—171no—
1039#388—171no—
1040#388—171no—
1041#388—171no—
1042#388—171no—
1043#388—171no—
1044#388C2×D1711yescharacteristic, complemented
1045#388C2×D1711yescharacteristic, complemented
1046#387—171no—
1047#387—171no—
1048#386—171no—
1049#386—171no—
1050#386—171no—
1051#386—171no—
1052#386—171no—
1053#386—171no—
1054#386—171no—
1055#386—171no—
1056#386—171no—
1057#386—171no—
1058#386—171no—
1059#386—171no—
1060#386—171no—
1061#386—171no—
1062#386—171no—
1063#386C2×D1711yescharacteristic
1064#385—171no—
1065#385—171no—
1066#385—171no—
1067#385—171no—
1068#385—171no—
1069#385—171no—
1070#381—171no—
1071#381—171no—
1072#381—171no—
1073#381—171no—
1074#380—171no—
1075#380—171no—
1076#380—171no—
1077#380—171no—
1078#379—171no—
1079#379—171no—
1080C4×C4⋊C4—171no—
1081#376—171no—
1082C2×C17—42no—
1083C2×C17—42no—
1084C2×C17—81no—
1085C2×C17—81no—
1086C2×C17—81no—
1087C2×C17—81no—
1088C2×C17#344911yescharacteristic
1089C2×C17#348411yescharacteristic
1090C2×C17#348811yescharacteristic
1091C2×C17#353311yescharacteristic
1092C2×C17#353411yescharacteristic
1093C2×C17#354011yescharacteristic
1094C2×C17#354211yescharacteristic
1095D17—42no—
1096D17—42no—
1097C25—171no—
1098C25C22×D1711yescharacteristic
1099C2×#41—344no—
1100C2×#41—682no—
1101C2×#41—682no—
1102C22×Q8—171no—
1103C22×Q8—171no—
1104C22×D4—171no—
1105C22×D4—171no—
1106C22×D4—171no—
1107C22×D4—171no—
1108C22×D4—171no—
1109C22×D4—171no—
1110C22×D4—171no—
1111C22×D4—171no—
1112C22×D4—171no—
1113C22×D4—171no—
1114C22×D4C22×D1711yescharacteristic
1115C22×D4C22×D1711yescharacteristic
1116C22×D4C22×D1711yescharacteristic
1117C22×D4C22×D1711yescharacteristic
1118C22×D4C22×D1711yescharacteristic
1119C22×D4C22×D1711yescharacteristic
1120C22×D4C22×D1711yescharacteristic
1121C22×D4C22×D1711yescharacteristic
1122C22×D4C22×D1711yescharacteristic
1123C22×D4C22×D1711yescharacteristic
1124C22×D4C22×D1711yescharacteristic
1125C22×D4C22×D1711yescharacteristic
1126C23×C4—171no—
1127C23×C4—171no—
1128C23×C4—171no—
1129C23×C4—171no—
1130C23×C4—171no—
1131C23×C4—171no—
1132C23×C4—171no—
1133C23×C4—171no—
1134C23×C4—171no—
1135C23×C4—344no—
1136C23×C4—682no—
1137C23×C4—682no—
1138C23×C4C22×D1711yescharacteristic
1139#127—42no—
1140#126—344no—
1141#126—344no—
1142#124—344no—
1143#124—344no—
1144#124—682no—
1145#123—344no—
1146#123—344no—
1147#123—344no—
1148#123—344no—
1149#123—682no—
1150#123—682no—
1151C22⋊Q8—344no—
1152C22⋊Q8—344no—
1153C22⋊Q8—344no—
1154C22⋊Q8—682no—
1155#121—24no—
1156#121—42no—
1157#121—344no—
1158#121—344no—
1159#121—344no—
1160#121—344no—
1161#121—682no—
1162#121—682no—
1163#120—24no—
1164#120—42no—
1165#120—42no—
1166#120—344no—
1167#120—344no—
1168#120—344no—
1169#120—682no—
1170#120—682no—
1171#120—682no—
1172#120—682no—
1173C4×D4—178no—
1174C4×D4—344no—
1175C4×D4—344no—
1176C4×D4—344no—
1177C4×D4—344no—
1178#117—344no—
1179C2×C4⋊C4—171no—
1180C2×C4⋊C4—171no—
1181C2×C4⋊C4—171no—
1182C2×C4⋊C4—171no—
1183C2×C4⋊C4—171no—
1184C2×C4⋊C4—171no—
1185C2×C4⋊C4—171no—
1186C2×C4⋊C4—171no—
1187C2×C4⋊C4—171no—
1188C2×C4⋊C4—171no—
1189C2×C4⋊C4—171no—
1190C2×C4⋊C4—171no—
1191C2×C4⋊C4—171no—
1192C2×C4⋊C4—171no—
1193C2×C4⋊C4—171no—
1194C2×C4⋊C4—171no—
1195C2×C4⋊C4—171no—
1196C2×C4⋊C4—171no—
1197C2×C4⋊C4—171no—
1198C2×C4⋊C4—171no—
1199C2×C4⋊C4—171no—
1200C2×C4⋊C4—171no—
1201C2×C4⋊C4C22×D1711yescharacteristic
1202C2×C4⋊C4C22×D1711yescharacteristic
1203C2×C22⋊C4—171no—
1204C2×C22⋊C4—171no—
1205C2×C22⋊C4—171no—
1206C2×C22⋊C4—171no—
1207C2×C22⋊C4—171no—
1208C2×C22⋊C4—171no—
1209C2×C22⋊C4—171no—
1210C2×C22⋊C4—171no—
1211C2×C22⋊C4—171no—
1212C2×C22⋊C4—171no—
1213C2×C22⋊C4—171no—
1214C2×C22⋊C4—171no—
1215C2×C22⋊C4—171no—
1216C2×C22⋊C4—171no—
1217C2×C22⋊C4—171no—
1218C2×C22⋊C4—171no—
1219C2×C22⋊C4—171no—
1220C2×C22⋊C4—171no—
1221C2×C22⋊C4—171no—
1222C2×C22⋊C4—171no—
1223C2×C22⋊C4—171no—
1224C2×C22⋊C4—171no—
1225C2×C22⋊C4—171no—
1226C2×C22⋊C4—171no—
1227C2×C22⋊C4—171no—
1228C2×C22⋊C4—171no—
1229C2×C22⋊C4—171no—
1230C2×C22⋊C4—171no—
1231C2×C22⋊C4—171no—
1232C2×C22⋊C4—171no—
1233C2×C22⋊C4—171no—
1234C2×C22⋊C4—171no—
1235C2×C22⋊C4—171no—
1236C2×C22⋊C4—171no—
1237C2×C22⋊C4—171no—
1238C2×C22⋊C4—171no—
1239C2×C22⋊C4—171no—
1240C2×C22⋊C4—171no—
1241C2×C22⋊C4—171no—
1242C2×C22⋊C4—171no—
1243C2×C22⋊C4—171no—
1244C2×C22⋊C4—171no—
1245C2×C22⋊C4—171no—
1246C2×C22⋊C4—171no—
1247C2×C22⋊C4—171no—
1248C2×C22⋊C4—171no—
1249C2×C22⋊C4—344no—
1250C2×C22⋊C4C22×D1711yescharacteristic
1251C2×C22⋊C4C22×D1711yescharacteristic
1252C2×C22⋊C4C22×D1711yescharacteristic
1253C2×C22⋊C4C22×D1711yescharacteristic
1254C2×C22⋊C4C22×D1711yescharacteristic
1255C2×C22⋊C4C22×D1711yescharacteristic
1256C2×C22⋊C4C22×D1711yescharacteristic
1257C2×C22⋊C4C22×D1711yescharacteristic
1258C2×C22⋊C4C22×D1711yescharacteristic
1259C2×C22⋊C4C22×D1711yescharacteristic
1260C2×C22⋊C4C22×D1711yescharacteristic
1261C2×C22⋊C4C22×D1711yescharacteristic
1262C2×C22⋊C4C22×D1711yescharacteristic
1263C2×C22⋊C4C22×D1711yescharacteristic
1264C2×C42—171no—
1265C2×C42—171no—
1266C2×C42—171no—
1267C2×C42—171no—
1268C2×C42—171no—
1269C2×C42—171no—
1270C2×C42C22×D1711yescharacteristic
1271#95—171no—
1272#95—171no—
1273#95—171no—
1274#95—171no—
1275#95—171no—
1276#95—171no—
1277#95—171no—
1278#95—171no—
1279#95—171no—
1280#95—171no—
1281#95—171no—
1282#95—171no—
1283#95—171no—
1284#95—171no—
1285#95—171no—
1286#95—171no—
1287#95—171no—
1288#95—171no—
1289#95—171no—
1290#95—171no—
1291#95—171no—
1292#95—171no—
1293#95—171no—
1294#95—171no—
1295#95C22×D1711yescharacteristic
1296#95C22×D1711yescharacteristic
1297#95C22×D1711yescharacteristic
1298#95C22×D1711yescharacteristic
1299C17#3672411yescharacteristic, complemented, Sylow
1300C24—22no—
1301C24—41no—
1302C24—41no—
1303C24—41no—
1304C24—41no—
1305C24—41no—
1306C24—41no—
1307C24—171no—
1308C24—171no—
1309C24—342no—
1310C24—342no—
1311C24—342no—
1312C24—681no—
1313C24—681no—
1314C24—681no—
1315C24—681no—
1316C24C23×D1711yescharacteristic
1317C24C23×D1711yescharacteristic
1318C24C23×D1711yescharacteristic
1319C24C23×D1711yescharacteristic
1320C24C23×D1711yescharacteristic
1321C24C23×D1711yescharacteristic
1322#41—6816no—
1323C2×Q8—342no—
1324C2×Q8—342no—
1325C2×Q8—342no—
1326C2×Q8—681no—
1327C2×Q8—681no—
1328C2×Q8—681no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—41no—
1348C2×D4—41no—
1349C2×D4—41no—
1350C2×D4—41no—
1351C2×D4—41no—
1352C2×D4—41no—
1353C2×D4—41no—
1354C2×D4—41no—
1355C2×D4—41no—
1356C2×D4—41no—
1357C2×D4—41no—
1358C2×D4—41no—
1359C2×D4—41no—
1360C2×D4—41no—
1361C2×D4—41no—
1362C2×D4—41no—
1363C2×D4—41no—
1364C2×D4—41no—
1365C2×D4—174no—
1366C2×D4—342no—
1367C2×D4—342no—
1368C2×D4—342no—
1369C2×D4—342no—
1370C2×D4—342no—
1371C2×D4—342no—
1372C2×D4—342no—
1373C2×D4—342no—
1374C2×D4—342no—
1375C2×D4—342no—
1376C2×D4—342no—
1377C2×D4—681no—
1378C2×D4—681no—
1379C2×D4—681no—
1380C2×D4—681no—
1381C2×D4—681no—
1382C2×D4—681no—
1383C2×D4—681no—
1384C2×D4—681no—
1385C2×D4—681no—
1386C2×D4—681no—
1387C2×D4—681no—
1388C2×D4—681no—
1389C2×D4—681no—
1390C2×D4—681no—
1391C2×D4—681no—
1392C2×D4—681no—
1393C2×D4—681no—
1394C2×D4—681no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—41no—
1398C22×C4—171no—
1399C22×C4—171no—
1400C22×C4—171no—
1401C22×C4—174no—
1402C22×C4—174no—
1403C22×C4—171no—
1404C22×C4—171no—
1405C22×C4—171no—
1406C22×C4—171no—
1407C22×C4—171no—
1408C22×C4—171no—
1409C22×C4—171no—
1410C22×C4—171no—
1411C22×C4—171no—
1412C22×C4—171no—
1413C22×C4—171no—
1414C22×C4—342no—
1415C22×C4—342no—
1416C22×C4—342no—
1417C22×C4—342no—
1418C22×C4—342no—
1419C22×C4—342no—
1420C22×C4—342no—
1421C22×C4—342no—
1422C22×C4—342no—
1423C22×C4—342no—
1424C22×C4—342no—
1425C22×C4—681no—
1426C22×C4—681no—
1427C22×C4—681no—
1428C22×C4—681no—
1429C22×C4—6816no—
1430C22×C4—681no—
1431C22×C4—681no—
1432C22×C4—681no—
1433C22×C4—681no—
1434C22×C4—681no—
1435C22×C4—681no—
1436C22×C4—681no—
1437C22×C4—681no—
1438C22×C4—681no—
1439C22×C4—681no—
1440C22×C4C23×D1711yescharacteristic
1441C22×C4C23×D1711yescharacteristic
1442C22×C4C23×D1711yescharacteristic
1443C22×C4C23×D1711yescharacteristic
1444C22×C4C23×D1711yescharacteristic
1445C22×C4C23×D1711yescharacteristic
1446C22×C4C23×D1711yescharacteristic
1447C22×C4C23×D1711yescharacteristic
1448C22×C4C23×D1711yescharacteristic
1449C4⋊C4—22no—
1450C4⋊C4—41no—
1451C4⋊C4—174no—
1452C4⋊C4—342no—
1453C4⋊C4—342no—
1454C4⋊C4—342no—
1455C4⋊C4—342no—
1456C4⋊C4—342no—
1457C4⋊C4—342no—
1458C4⋊C4—342no—
1459C4⋊C4—342no—
1460C4⋊C4—342no—
1461C4⋊C4—342no—
1462C4⋊C4—681no—
1463C4⋊C4—681no—
1464C4⋊C4—681no—
1465C4⋊C4—681no—
1466C4⋊C4—681no—
1467C4⋊C4—681no—
1468C4⋊C4—681no—
1469C4⋊C4—681no—
1470C4⋊C4—681no—
1471C4⋊C4—681no—
1472C4⋊C4—681no—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—41no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—174no—
1487C22⋊C4—342no—
1488C22⋊C4—342no—
1489C22⋊C4—342no—
1490C22⋊C4—342no—
1491C22⋊C4—342no—
1492C22⋊C4—342no—
1493C22⋊C4—342no—
1494C22⋊C4—342no—
1495C22⋊C4—342no—
1496C22⋊C4—342no—
1497C22⋊C4—342no—
1498C22⋊C4—342no—
1499C22⋊C4—342no—
1500C22⋊C4—342no—
1501C22⋊C4—342no—
1502C22⋊C4—342no—
1503C22⋊C4—342no—
1504C22⋊C4—342no—
1505C22⋊C4—342no—
1506C22⋊C4—342no—
1507C22⋊C4—342no—
1508C22⋊C4—681no—
1509C22⋊C4—681no—
1510C22⋊C4—681no—
1511C22⋊C4—681no—
1512C22⋊C4—681no—
1513C22⋊C4—681no—
1514C22⋊C4—681no—
1515C22⋊C4—681no—
1516C22⋊C4—681no—
1517C22⋊C4—681no—
1518C22⋊C4—681no—
1519C22⋊C4—681no—
1520C22⋊C4—681no—
1521C22⋊C4—681no—
1522C22⋊C4—681no—
1523C22⋊C4—681no—
1524C22⋊C4—681no—
1525C22⋊C4—681no—
1526C22⋊C4—681no—
1527C22⋊C4—681no—
1528C22⋊C4—681no—
1529C22⋊C4—681no—
1530C22⋊C4—681no—
1531C22⋊C4—681no—
1532C22⋊C4D4×D1714yes—
1533C42—41no—
1534C42—174no—
1535C42—342no—
1536C42—342no—
1537C42—681no—
1538C42—681no—
1539C42—681no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—44no—
1581C23—82no—
1582C23—82no—
1583C23—82no—
1584C23—82no—
1585C23—82no—
1586C23—82no—
1587C23—172no—
1588C23—172no—
1589C23—341no—
1590C23—341no—
1591C23—341no—
1592C23—341no—
1593C23—341no—
1594C23—341no—
1595C23—341no—
1596C23—341no—
1597C23—341no—
1598C23—341no—
1599C23—341no—
1600C23—341no—
1601C23—684no—
1602C23—684no—
1603C23—684no—
1604C23—684no—
1605C23—684no—
1606C23—684no—
1607C23—684no—
1608C23C2×D4×D1712yes—
1609C23#1058769112yes—
1610C23C24×D1711yescharacteristic
1611Q8—684no—
1612Q8—1362no—
1613D4—44no—
1614D4—44no—
1615D4—44no—
1616D4—44no—
1617D4—82no—
1618D4—82no—
1619D4—82no—
1620D4—82no—
1621D4—82no—
1622D4—82no—
1623D4—82no—
1624D4—82no—
1625D4—684no—
1626D4—684no—
1627D4—684no—
1628D4—684no—
1629D4—1362no—
1630D4—1362no—
1631D4—1362no—
1632D4—1362no—
1633D4—1362no—
1634D4—1362no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—44no—
1660C2×C4—172no—
1661C2×C4—172no—
1662C2×C4—172no—
1663C2×C4—348no—
1664C2×C4—341no—
1665C2×C4—341no—
1666C2×C4—341no—
1667C2×C4—341no—
1668C2×C4—341no—
1669C2×C4—341no—
1670C2×C4—341no—
1671C2×C4—341no—
1672C2×C4—341no—
1673C2×C4—341no—
1674C2×C4—341no—
1675C2×C4—341no—
1676C2×C4—341no—
1677C2×C4—341no—
1678C2×C4—341no—
1679C2×C4—341no—
1680C2×C4—341no—
1681C2×C4—341no—
1682C2×C4—341no—
1683C2×C4—341no—
1684C2×C4—341no—
1685C2×C4—341no—
1686C2×C4—341no—
1687C2×C4—341no—
1688C2×C4—341no—
1689C2×C4—341no—
1690C2×C4—341no—
1691C2×C4—341no—
1692C2×C4—341no—
1693C2×C4—341no—
1694C2×C4—341no—
1695C2×C4—341no—
1696C2×C4—341no—
1697C2×C4—341no—
1698C2×C4—341no—
1699C2×C4—341no—
1700C2×C4—341no—
1701C2×C4—341no—
1702C2×C4—341no—
1703C2×C4—684no—
1704C2×C4—684no—
1705C2×C4—684no—
1706C2×C4—684no—
1707C2×C4—684no—
1708C2×C4—684no—
1709C2×C4—1362no—
1710C2×C4—1362no—
1711C2×C4C2×D4×D1712yes—
1712C2×C4C2×D4×D1712yes—
1713C2×C4#1058769112yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—88no—
1757C22—342no—
1758C22—342no—
1759C22—342no—
1760C22—342no—
1761C22—342no—
1762C22—342no—
1763C22—6816no—
1764C22—681no—
1765C22—681no—
1766C22—681no—
1767C22—681no—
1768C22—681no—
1769C22—681no—
1770C22—681no—
1771C22—681no—
1772C22C22×D4×D1711yescharacteristic
1773C22H(5,𝔽2)×D1711yescharacteristic
1774C22C2×#1058769111yescharacteristic
1775C22C2×#1058769111yescharacteristic
1776C22#1176364411yescharacteristic
1777C22#1176364411yescharacteristic
1778C22#1176364411yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—342no—
1789C4—342no—
1790C4—342no—
1791C4—681no—
1792C4—681no—
1793C4—681no—
1794C4—681no—
1795C4—681no—
1796C4—681no—
1797C4—681no—
1798C4—681no—
1799C4—681no—
1800C4—681no—
1801C4—681no—
1802C2—42no—
1803C2—42no—
1804C2—81no—
1805C2—81no—
1806C2—81no—
1807C2—81no—
1808C2—682no—
1809C2—682no—
1810C2#1454211511yescharacteristic
1811C2#1454241211yescharacteristic
1812C2#1454244411yescharacteristic
1813C2#1454295311yescharacteristic
1814C2#1454297111yescharacteristic
1815C2#1454305011yescharacteristic
1816C2#1454310511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2669C2
hypercenter#2669D17
hypocenterC17#36724
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2669

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#11763394C2semidirect
2. C2×#11763319C2semidirect
3. #14537075C2semidirect
4. #14537063C2semidirect
5. #14535463C2semidirect
6. #14535416C2semidirect
7. #14535377C2semidirect
8. #14535374C2semidirect
9. #14535203C2semidirect
10. #14535151C2semidirect
11. #14535135C2semidirect
12. #14535130C2semidirect
13. #14535118C2semidirect
14. #14535111C2semidirect
15. #14535105C2semidirect
16. #14535105C2semidirect
17. #14535029C2semidirect
18. #14535009C2semidirect
19. #14534997C2semidirect
20. #14534673C2semidirect
21. #14534628C2semidirect
22. #14534474C2semidirect
23. #14534404C2semidirect
24. #14534388C2semidirect
25. #14534365C2semidirect
26. #14533752C2semidirect
27. #14533671C2semidirect
28. #14532122C2semidirect
29. #14532100C2semidirect
30. #14531425C2semidirect
31. C17×#2669C2semidirect
33. C23×C4×D17C22semidirect
35. C2×#10587565C22semidirect
36. C2×#10587565C22semidirect
37. C2×#10587622C22semidirect
38. C2×#10587622C22semidirect
44. C2×#10587569C22semidirect
46. C2×#10587621C22semidirect
47. C2×#10587583C22semidirect
48. C2×#10587610C22semidirect
49. C2×#10587564C22semidirect
50. C2×#10587564C22semidirect
53. C2×#10587625C22semidirect
62. C2×#10587623C22semidirect
63. C2×#10587623C22semidirect
65. C2×D4×Dic17C22semidirect
66. C2×D4×Dic17C22semidirect
68. C2×#10587567C22semidirect
69. C2×#10587578C22semidirect
70. C22×C22⋊Dic17C22semidirect
71. #11762749C22semidirect
72. #11762745C22semidirect
73. #11762743C22semidirect
74. #11762741C22semidirect
75. #11762739C22semidirect
76. #11762738C22semidirect
77. #11762734C22semidirect
78. #11762734C22semidirect
79. #11762733C22semidirect
80. #11762732C22semidirect
81. #11762732C22semidirect
82. #11762732C22semidirect
83. #11762732C22semidirect
84. #11762732C22semidirect
85. #11762729C22semidirect
90. #11762724C22semidirect
91. #11762724C22semidirect
96. #11762723C22semidirect
97. #11762723C22semidirect
98. #11762723C22semidirect
99. #11762723C22semidirect
100. #11762723C22semidirect
101. #11762723C22semidirect
102. #11762723C22semidirect
103. #11762722C22semidirect
104. #11762721C22semidirect
105. #11762721C22semidirect
112. #11762717C22semidirect
113. #11762715C22semidirect
114. #11762713C22semidirect
116. #11762712C22semidirect
117. #11762712C22semidirect
122. #11762709C22semidirect
123. #11762709C22semidirect
124. #11762706C22semidirect
125. #11762704C22semidirect
126. #11762704C22semidirect
127. #11762703C22semidirect
128. #11762703C22semidirect
129. #11762703C22semidirect
130. #11762703C22semidirect
131. #11762702C22semidirect
132. #11762702C22semidirect
133. #11762702C22semidirect
134. #11762700C22semidirect
135. #11762700C22semidirect
136. #11762698C22semidirect
137. #11762697C22semidirect
138. #11762697C22semidirect
139. #11762696C22semidirect
140. #11762696C22semidirect
143. #11762689C22semidirect
144. #11762689C22semidirect
145. #11762689C22semidirect
146. #11762689C22semidirect
147. #11762689C22semidirect
148. #11762689C22semidirect
154. #11762685C22semidirect
155. #11762685C22semidirect
156. #11762684C22semidirect
157. #11762684C22semidirect
158. #11762684C22semidirect
159. #11762683C22semidirect
160. #11762683C22semidirect
161. #11762682C22semidirect
162. #11762671C22semidirect
163. #11762671C22semidirect
164. #11762670C22semidirect
165. #11762670C22semidirect
166. #11762669C22semidirect
167. #11762667C22semidirect
168. #11762666C22semidirect
169. #11762666C22semidirect
170. #11762665C22semidirect
171. #11762664C22semidirect
172. C4×#63225C22semidirect
173. #11762654C22semidirect
178. C2×C17×#120C22semidirect
179. C2×C17×#120C22semidirect
180. C17×#394C22semidirect
181. C17×#394C22semidirect
184. C17×#392C22semidirect
185. C17×#392C22semidirect
186. C17×#388C22semidirect
187. C17×#388C22semidirect
358. #10587567D4semidirect
825. #2669D17semidirect
961. C2×#120C2×D17semidirect
962. C2×#120C2×D17semidirect
1002. #394C2×D17semidirect
1003. #394C2×D17semidirect
1016. #392C2×D17semidirect
1017. #392C2×D17semidirect
1044. #388C2×D17semidirect
1045. #388C2×D17semidirect
1299. C17#36724semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#117633942
C2×#117633192
#145370752
#145370632
#145354632
#145354162
#145353772
#145353742
#145352032
#145351512
#145351352
#145351302
#145351182
#145351112
#145351052
#145350292
#145350092
#145349972
#145346732
#145346282
#145344742
#145344042
#145343882
#145343652
#145337522
#145336712
#145321222
#145321002
#145314252
C17×#26692
#3672417